113667016064 has 64 divisors (see below), whose sum is σ = 259035740160. Its totient is φ = 48669202944.

The previous prime is 113667016031. The next prime is 113667016087. The reversal of 113667016064 is 460610766311.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 915599 + ... + 1032305.

It is an arithmetic number, because the mean of its divisors is an integer number (4047433440).

Almost surely, 2^113667016064 is an apocalyptic number.

113667016064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113667016064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129517870080).

113667016064 is an abundant number, since it is smaller than the sum of its proper divisors (145368724096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113667016064 is a wasteful number, since it uses less digits than its factorization.

113667016064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117815 (or 117803 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The spelling of 113667016064 in words is "one hundred thirteen billion, six hundred sixty-seven million, sixteen thousand, sixty-four".